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113 LearnersLast updated on March 3rd, 2025
19/20 as a Decimal
This is a simple question on decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of a whole. It has two parts: the numerator (number on the top), here 19, which represents how many parts out of the whole, and the denominator (number below), here 20, which shows how many parts make the whole. A decimal is a way to represent numbers that are not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
What is 19/20 as a decimal?
Answer
19/20 as a decimal can be written as 0.95. It is a terminating decimal, meaning it ends after a finite number of digits.
Explanation
To convert 19/20 to a decimal, we will use the division method. Since 19 is less than 20, we will employ the decimal method, which will give us 0.95. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator. Here, the numerator (19) is the dividend, and the denominator (20) is the divisor.
Step 2: As 19 is smaller than 20, it cannot be divided without using decimals. We add a decimal point and a zero to the dividend, making it 190.
Step 3: Divide 190 by 20. Determine how many times 20 fits into 190.
Step 4: 190 divided by 20 is 9, with a remainder of 10. Write 9 in the quotient place.
Step 5: Bring down another 0 to make it 100. Divide 100 by 20, which fits 5 times exactly. Thus, write 5 in the quotient place. The division yields a remainder of 0, and since it ends here, this is a terminating decimal.
The answer for 19/20 as a decimal is 0.95.
Important Glossaries for 19/20 as a decimal
- Fraction: A numerical quantity representing a part of a whole, consisting of a numerator and a denominator.
- Decimal: A number expressed in the base ten system, using a decimal point to separate the whole part from the fractional part.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
- Denominator: The bottom part of a fraction, showing how many parts make up a whole.
- Terminating Decimal: A decimal that has a finite number of digits and does not repeat infinitely.
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